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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.14 No.3

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Existence of Fuzzy Ideals with Additional Conditions in BCK/BCI-algebras

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2007, v.14 no.3, pp.223-230
Jun, Young-Bae
Park, Chul-Hwan
Jun,, Y. , & Park,, C. (2007). Existence of Fuzzy Ideals with Additional Conditions in BCK/BCI-algebras. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 14(3), 223-230.

Abstract

We give an answer to the following question: Question. Let S be a subset of [0,1] containing a maximal element m > 0 and let C :=<TEX>$\{I_{t}\;{\mid}\;t{\in}S\}$</TEX> be a decreasing chain of ideals of a BCK/BCI-algebra X. Then does there exists a fuzzy ideal <TEX>${\mu}(X)=S\;and\;C_{\mu}=C?$</TEX>.

keywords
(anti) isotone map, (fuzzy) ideal

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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